Answers
Step-by-step explanation:
not everything is visible, and the points' coordinates have to optically estimated (particularly for the leftmost point).
I assume, we have the following points :
(-6, 1.5) (-3, 3)
(-3, 2) (1, 2)
(1, 1) (6, -9)
all 3 segments are lines with the basic function definition
y = ax + b
a is the slope of the line function and is always the factor of x.
it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.
b is the y-intercept (the y value when x = 0).
the first segment goes from (-6, 1.5) to (-3, 3).
x changes by +3 units (from -6 to -3).
y changes by +1.5 or 3/2 units (from 1.5 to 3).
the slope of the line is 3/2 / 3 = 3/(2×3) = 1/2
giving us the first part
y = (1/2)x + b
b we get by using the coordinates of one point (e.g. -3, 3) as x and y values and solve for b :
3 = (1/2)×-3 + b
3 = -3/2 + b
6/2 + 3/2 = b
9/2 = b
the full equation is
y = (1/2)x + 9/2 = (x + 9)/2
the second segment is a flat, horizontal line and is simply
y = 2
the third segment goes from (1, 1) to (6, -9) :
x changes by +5 units (from 1 to 6).
y changes by -10 units (from 1 to -9).
the slope of the line is -10/5 = -2
giving us the first part
y = -2x + b
b we get by using the coordinates of one point (e.g. 1, 1) as x and y values and solve for b :
1 = -2×1 + b
1 = -2 + b
3 = b
the full equation is
y = -2x + 3
The answer is in the pic below!
Related Questions
One of my grandmother's most vivid memories of Camp 3 was a riot between the Nisei and the Kibei. The Nisei and Kibei were Japanese Americans born in the United States, but they weren't all educated in America. The Nisei went to school in the United States, whereas the Kibei were mainly educated in Japan. Then they returned to the United States. In general, the Kibei opposed those Nisei who joined the U.S. Army to fight.
Answers
Answer:
Step-by-step explanation:
what is the question?
Consider the function given by the graph. What are
these values?
fl-2) =
10) =
f(4) =
Answers
Answer:
f(-2) = 2
f(0) = 4
f(4) = -1
Step-by-step explanation:
Given the graph of a piecewise function:
[tex]\displaystyle\mathsf{f(x) = \left \{ {{x\:+\:4\quad if\:\:x\leq \:0} \atop {-\frac{1}{2}x\:+\:1\quad if\:\:x\: >\:0}} \right.}\\[/tex]
Side note:
I used the method of finding the linear equations in slope-intercept form to establish the piecewise function. First, I solved for the slope by choosing two points in each defined interval. Then, I plugged in the y-intercepts of each interval, for f(x) = x + 4: the y-intercept is (0, 4) where b = 4; for f(x) = -½x + 1, the y-intercept is (0, 1) where b = 1.
Explanation:There are two methods for determining the range values of the given domain values.
Method 1: The first method is using the graph to find the corresponding range values of the given domain {-2, 0, 4}.
Method 2: Alternatively, we could use the rules provided by the piecewise function in evaluating the following domain values. This post will use the second method (using the piecewise function) to evaluate the input values.
Regardless of the method used, the results will remain the same.
f(-2)Since the input value is x = -2, then we must use the function, f(x) = x + 4:
f(x) = x + 4
f(-2) = -2 + 4
f(-2) = 2
Therefore, the range value given the domain, x = -2 is 2, or simply: f(-2) = 2.
f(0)
Given the input value is x = 0, then we must also use the function, f(x) = x + 4:
f(x) = x + 4
f(0) = 0 + 4
f(0) = 4
Therefore, the range value given the domain, x = 0 is 4, or f(0) = 4.
f(4)
Since the input value is x = 4, then we must use the function, f(x) = -½x + 1:
f(x) = -½x + 1
f(4) = -½(4) + 1
f(4) = -2 + 1
f(4) = -1
Therefore, the range value given the domain, x = 4 is -1, or f(4) = -1.
A cyclist travels 6.7 km in 30 minutes. What is his average speed in km/h?
Answers
Answer:
[tex]\implies \footnotesize \text{ Average Speed} = \dfrac{ \text{Total Distance}}{ \text{Total time}} \\ [/tex]
30 min = ½ hr.[tex]\implies \footnotesize \text{ Average Speed} = \dfrac{ 6.7 \: km}{ \frac{1}{2} \: hr }[/tex]
[tex]\implies \footnotesize \text{ Average Speed} = 6.7 \times 2 \: km/h[/tex]
[tex]\implies \footnotesize \textbf{ Average Speed = 13.4 \: km/h}[/tex]
His rate is 13.4km/ hour
Data;
Distance = 6.7kmTime = 30 minutesConversion From Minutes to HoursTo solve this problem, we have to convert his speed from km/min to km/h
[tex]60min =1 hour\\[/tex]
Since his rate is 6.7kmin 30 minutes, let's convert it to hour
[tex]6.7km = 30min\\x km = 1min\\x = \frac{6.7}{30} \\x = 0.223km/min[/tex]
But to convert minutes to hours, we have to divide the time by 60
[tex]0.223\frac{km}{min}*60/1 = 13.4[/tex]
From the calculation above, his rate is 13.4km/ hour
Learn more on conversion from minutes to hours here;
https://brainly.com/question/4845674
You start at (4,5). You move down 3 units. Where do you end?
Answers
Answer:
(4,2)
Step-by-step explanation:
If you move from left to right your X will change if you move up or down your Y will change.
( can I have brainiest? )
what is 800 x 900 x 500????
Answers
Answer:
its: 360,000,000
Step-by-step explanation:
good luck
Answer:
[tex]3.6 \times {10}^{8} [/tex]
Step-by-step explanation:
[tex]800 \times 900 \times 500 \\ = 8 \times 9 \times 5 \times {10}^{6} \\ = 360 \times {10}^{6} \\ = 3.6 \times {10}^{8} [/tex]
find all of the remaining angles
Answers
Step-by-step explanation:
angle 1 = 73°
angle 2 = 107°
angle 3 = 73°
angle 4 = 107°
angle 5 = 73°.
hope this helps you.
Mimi is making cookies fo her family reunion. Each batch of cookies calls for 1 1/2 cups of chocolate chips. She makes 3.5 batches. How many cups of chocolate chips does she use?
Answers
Answer:
5 and 1/4 cups of chocolate chips
a number y divided by 4 is greater than 22
Answers
Answer:
y ÷ 4 ≥ 22
Step-by-step explanation:
I can't find the greater than symbol, but just write the "≥" without the line underneath
Answer:
44
Step-by-step explanation:
Let the number be X
B/P,
X/4=22 Or, X=22*4
X=88
X/2=88/2=44
So the quotient of the number when divided by 2 is 44.
Hope it help and if it its correct please give brainliest
Stay Safe and healthy
Thank You
A polygon undergoes a combined transformation of T3.2) (Ro, 90). The vertex (5,2) of the polygon maps to what final image?
А
(-4,8)
B.
(-2,5)
С
(1,7)
D
(5.-3)
Answers
The final image of the vertex of the polygon after a translation and rotation would be (- 4, 8).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
The preimage of the vertex of a polygon is, (5, 2).
Now, After a transformation of T(3, 2) the image of the vertex of the polygon would be, (5 + 3, 2 + 2) ⇒ (8, 4).
Now, Another transformation is the rotation of 90° (counterclockwise as it is positive).
We know a rotation of 90° counterclockwise to (x, y) becomes (- y, x).
Therefore, The vertex of the polygon will be at (- 4, 8).
learn more about transformations here :
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Solve the inequality t/2 ≥ 11 for t.
A. 4 ≥ 9
B. t ≥ 22
C. t ≤ 9
D. t ≤ 22
Answers
Answer:
B
Step-by-step explanation:
We can multiply both sides by 2 to get rid of the fraction and get:
t ≥ 11 × 2 ->
t ≥ 22.
Hope that helps! :)
Answer:
B: t ≥ 22
Step-by-step explanation:
Yara is trying to find the best price for 8 notebooks.
If 2 notebooks cost $14.00 at Barnyard Books, and 5 notebooks cost $20.00 at The Bookworm, how many dollars will Yara save if she buys 8 notebooks from The Bookworm instead of Barnyard Books?
Answers
Answer:
Yara will save $24.00 if she buys 8 notebooks from bookworm instead of barnyard books.
Step-by-step explanation:
if 2 notebooks = $14.00, then, 14 ÷ 2 = $7.00
Therefore, 1 notebook at Barnyard book is $7.00
She bought 8, so 8×7 = $ 56.00
> She will spend $56.00 at Barnyard book
while at bookworm, 5 notebooks cost $20.00
> 20 ÷ 5 = $4.00
Therefore, 1 notebook at bookworm cost $4.00
She bought 8, so 8×4 = $32.00
> She will spend $32.00
Subtract the total amount that she'll spend on both stores
$ 56.00 - $ 32.00 = $ 24.00
Therefore, Yara will save $24.00 if she buys 8 notebooks from bookworm instead of barnyard books
Simplify the scale 5mm: 1 meter , writing your answer in ratio form.
Answers
Answer:
1 : 200
Step-by-step explanation:
To get an answer in ratio form, we must convert meters into millimeters or we can convert millimeters to meters. Then we can get our answer.
Step 1: Convert.
=> 5 millimeters : 1 meter
=> 5 millimeters : 1000 millimeters
Step 2: Simplify.
=> 5 millimeters : 1000 millimeters
=> 1 millimeter : 200 millimeters
Key Note: Answer in ratio form is always unitless.
=> 1 : 200
So therefore, 1 : 200 is our ratio. Hoped this helped.
37,162 Divided by 10 to the third power equals what
Answers
Answer:
37.162
Step-by-step explanation:
We know that 10 to the third power is 10³ = 1000. When a number is divided by 1000, the decimal point is moved 3 digits to the left. Therefore, we can get 37,162/1000 = 37.162
A hot air balloon is at an elevation of 425 feet. It descends 110 feet what is the elevation of the balloon?
Answers
Answer:
315
425 + -115 = 315 feet
Step-by-step explanation:
Answer:
The balloon will be at an elevation of 315 feet.
Step-by-step explanation:
425-110=315
3/12 + 7/12 =
A) 5/6
B) 10/24
C) 5/24
D) 1/6
Answers
10/12
simplified (divide by 2) it’s
5/6
the answer is A
Answer:
A. 5/6
Step-by-step explanation:
Since our denominators match, we can add the numerators.
3 + 7 = 10
So 10/12 the answer but simplified would give 5/6
Which number sentence is true?
A. -4.25 > -2 4/5
B. 6/11 > 6.11
C. 7/8 > -0.78
D. 14/8 > 8.1
Answers
Answer: C. Is true 7/8>-0.78
What is a unit rate?
What are the steps for
finding a unit rate?
Each 12-ounce bottle of
shampoo cost $2.15.
What is the cost
per ounce?
Answer all please
Answers
Answer:
1. Cost of a quantity of 1.
2. Divide the cost by quantity.
3. $0.18 per ounce
work: 2.15 / 12 = 0.1791666666666 and round
6-2/3(x+5)=4x solve for x
Answers
Answer:
3x^2+15x-1=0
Step-by-step explanation:
4/(3x+15)=4x
4=12x^2+60x
12x^2+60x-4=0
3x^2+15x-1=0
Please solve after that, I cannot do everything for you
1. 24x - 18
-
A. 6(4x-3) B. 6
-
C. 4(6x - 4) D. 12x - 9
It’s a select all that apply question
Answers
[tex] \: [/tex]
the right answer is
A. 6(4x-3)Step-by-step explanation:
[tex]24x - 18[/tex]
Factor out 6 from the expression[tex] = 6(4x - 3)[/tex]
so we got the answerhope it helps[tex] \: [/tex]
Which of the following is NOT classified as nonverbal communication a. Signs b. Eye Contact c. Body language d. Gestures
Answers
Answer:
american sign language (ASL)
Help please I need help please
Answers
Answer:
25 and 100 I think
Step-by-step explanation:
because the line is between the 20 and the 30 so it its 25
Ashely burns 0.48 calories for every 20 feet she runs.How many calories would she burn after running 2 miles?
Answers
Answer:
253.44 calories
Step-by-step explanation:
2 miles = 10560 feet
10560/20 = 528
528 · 0.48 = 253.44
Does this relationship represents a function? Explain why or why not. (F.IF.A.1)
y
-5
4
-2
-5.4
-2.1
2 B4
5
X
Edit
View
Insert
Format
Tools Table HELP PLEASE
Answers
Step-by-step explanation:
no, it does not.
because almost every valid value of x (from -3 to +3) has 2 associated result values of y.
like x = 0 has y = 3 and y = -3.
but for a function there can be only ONE associated y value for every valid x value.
In how many years will Rs 1200 at the rate of 15% interest amount to Rs 1740?
Answers
Answer:
3 years.
Step-by-step explanation:
Answer
3 years
Step by step explanation
Interest = 1740 - 1200
= 540
SI = prt/100
540 = 1200*15*t/100
540 = 12*15*t
540 = 180*t
t = 540/180
t = 3 yrs
Use cross multiplication to solve this equation. Steps must be shown pls. (Get T alone and on the other side of the equation.)
t/4 = 1/5
Answers
Answer:
T = 4/5
Step-by-step explanation:
t/4 = 1/5
x4 x4
t = 4/5
Hope this works.
Answer:
4/5
Step-by-step explanation:
t/4 = 1/5
5t = 4
t = 4/5
yeah-ya.... right?
A circle is divided into equal parts. An angle turns through one of the parts, as
shown below. Which equation shows a way to find the measure of the angle?
Answers
Answer:
1/6 = 60/360
Step-by-step explanation:
The circle is split into 6 parts and a circle equals 360°
1/6 = x/360
Cross Multiply...
6x = 360
Divide to isolate x...
x = 60
The equation measures the angle that will be 1 / 6 = x / 360. Then the correct option is D.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
A circle is divided into equal parts. An angle turns through one of the parts, as shown below.
Then the equation shows a way to get the measure of the angle that will be
The arc of the circle makes 360°. And the circle is divided into six equal parts, and then the angle of each section will be equal.
Let x be the angle of each section.
Then the ratio of the area of the complete circle and one-sixth circle. Then we have
A₁ = 6A₂
Then we have
A₂ / A₁ = [(x/360) πr²] / [πr²]
A₂ / 6A₂ = x / 360
1 / 6 = x / 360
Then the value of x will be
x = 60°
More about the circle link is given below.
https://brainly.com/question/11833983
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A local cable TV company charges $4 for older movies and $8 for current movies, plus a monthly fee of $30. In July, Kendra ordered 5 older movies and 3 current movies.
True or False: The equation below can be used to solve the problem.
c = (5 x 4) + (3 x 8) + 30
Answers
Answer:
I'm past that level of math. Here's the answer:Letter B
Step-by-step explanation:
A donut has a diameter of 15cm. Whats is the comerference?
Answers
what is the output when in the input is 7
Answers
Answer:
If the input is 7 then output is:-Tiny Small. Explaination: - 7 is smaller than 10 so output is tiny.
There are 495 pages in the mathematic book, from this 330 pages are included for the first term. Find the proportion of total pages to allotted pages in simplest form.
Answers
Answer:
330/495 = 2/3
the answer is 2/3
Answer:
3 : 2
Step-by-step explanation:
Total pages : allotted pages = 495 : 330
Find the HCF of 495 and 330
495 = 5 * 3*3*11
330 = 5 * 3 * 2 * 11
HCF = 5 * 3 * 11 = 165
Divide 495 and 330 by 165
495 : 330 = 3 : 2